B. Collier

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All published works

Action	Title	Year	Authors
+	A general Cayley correspondence and higher rank Teichmüller spaces	2024	Steven B. Bradlow B. Collier Oscar García‐Prada Peter B. Gothen André Oliveira
+ PDF Chat	Holomorphic curves in the 6-pseudosphere and cyclic surfaces	2024	B. Collier Jérémy Toulisse
+ PDF Chat	Arakelov–Milnor inequalities and maximal variations of Hodge structure	2023	Olivier Biquard B. Collier Oscar García‐Prada Domingo Toledo
+	Holomorphic curves in the 6-pseudosphere and cyclic surfaces	2023	B. Collier Jérémy Toulisse
+	A general Cayley correspondence and higher Teichmüller spaces	2021	Steve Bradlow B. Collier Oscar García‐Prada Peter B. Gothen André Oliveira
+	Arakelov-Milnor inequalities and maximal variations of Hodge structure	2021	Olivier Biquard B. Collier Oscar García‐Prada Domingo Toledo
+	(G,P)-Opers and global Slodowy slices	2020	B. Collier Andrew Sanders
+	SO(n, n+1)-surface group representations and Higgs bundles	2020	B. Collier
+	(G,P)-opers and global Slodowy slices	2019	B. Collier Andrew Sanders
+ PDF Chat	The geometry of maximal representations of surface groups into $\mathrm{SO}_0(2,n)$	2019	B. Collier Nicolas Tholozan Jérémy Toulisse
+ PDF Chat	The geometry of maximal representations of surface groups into SO0(2,n)	2019	B. Collier Nicolas Tholozan Jérémy Toulisse
+ PDF Chat	$$\mathrm {SO}(p,q)$$-Higgs bundles and Higher Teichmüller components	2019	Marta Aparicio-Arroyo Steven B. Bradlow B. Collier Oscar García‐Prada Peter B. Gothen André Oliveira
+ PDF Chat	The geometry of maximal components of the PSp(4, ℝ) character variety	2019	Daniele Alessandrini B. Collier
+	Conformal limits and the Białynicki-Birula stratification of the space of λ-connections	2019	B. Collier Richard Wentworth
+ PDF Chat	Studying Deformations of Fuchsian Representations with Higgs Bundles	2019	B. Collier
+	(G,P)-opers and global Slodowy slices	2019	B. Collier Andrew Sanders
+	Various Generalizations and Deformations of PSL(2,ℝ) Surface Group Representations and their Higgs Bundles	2018	B. Collier
+	Conformal limits and the Bialynicki-Birula stratification of the space of lambda-connections	2018	B. Collier Richard Wentworth
+ PDF Chat	Exotic components of SO(p,q) surface group representations, and their Higgs bundle avatars	2018	Marta Aparicio-Arroyo Steven B. Bradlow B. Collier Oscar García‐Prada Peter B. Gothen André Oliveira
+	Conformal limits and the Bialynicki-Birula stratification of the space of lambda-connections	2018	B. Collier Richard Wentworth
+	SO(n,n+1)-surface group representations and their Higgs bundles	2017	B. Collier
+	Various generalizations and deformations of $PSL(2,\mathbb{R})$ surface group representations and their Higgs bundles	2017	B. Collier
+	SO(n,n+1)-surface group representations and their Higgs bundles	2017	B. Collier
+	Asymptotics of Higgs bundles in the Hitchin component	2016	B. Collier Qiongling Li
+	Parallel transport on principal bundles over stacks	2016	B. Collier Eugene Lerman Seth Wolbert
+	Finite order automorphisms of Higgs bundles: theory and application	2016	B. Collier
+	Maximal $${\mathsf {Sp}}(4,{\mathbb {R}})$$ surface group representations, minimal immersions and cyclic surfaces	2015	B. Collier
+	Maximal Sp(4,R) surface group representations, minimal surfaces and cyclic surfaces	2015	B. Collier
+	Maximal Sp(4,R) surface group representations, minimal immersions and cyclic surfaces	2015	B. Collier
+ PDF Chat	A symplectic proof of a theorem of Franks	2012	B. Collier Ely Kerman Benjamin Reiniger Bolor Turmunkh Andrew Zimmer

Common Coauthors

Coauthor	Papers Together
Óscar García-Prada	6
André Oliveira	4
Peter B. Gothen	4
Jérémy Toulisse	4
Richard Wentworth	3
Steven B. Bradlow	3
Andrew Sanders	2
Domingo Toledo	2
Nicolas Tholozan	2
Marta Aparicio-Arroyo	2
Olivier Biquard	2
Andrew Sanders	1
Daniele Alessandrini	1
Bolor Turmunkh	1
Steve Bradlow	1
Benjamin Reiniger	1
Ely Kerman	1
Seth Wolbert	1
Eugene Lerman	1
Andrew Zimmer	1
Qiongling Li	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	The Self-Duality Equations on a Riemann Surface	1987	Nigel Hitchin	19
+ PDF Chat	Flat $G$-bundles with canonical metrics	1988	Kevin Corlette	16
+ PDF Chat	Constructing variations of Hodge structure using Yang-Mills theory and applications to uniformization	1988	Carlos Simpson	15
+	Twisted Harmonic Maps and the Self-Duality Equations	1987	Simon Donaldson	15
+	Components of spaces of representations and stable triples	2001	Peter B. Gothen	13
+ PDF Chat	Surface group representations with maximal Toledo invariant	2010	Marc Burger Alessandra Iozzi Anna Wienhard	12
+ PDF Chat	Maximal Representations of Surface Groups: Symplectic Anosov Structures	2005	Marc Burger Alessandra Iozzi François Labourie Anna Wienhard	12
+	Lie groups and teichmüller space	1992	Nigel Hitchin	12
+	Topological components of spaces of representations	1988	William M. Goldman	11
+	The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group	2009	Bertram Kostant	11
+ PDF Chat	Maximal surface group representations in isometry groups of classical Hermitian symmetric spaces	2007	Steven B. Bradlow Oscar García‐Prada Peter B. Gothen	11
+ PDF Chat	Anosov representations: domains of discontinuity and applications	2012	Olivier Guichard Anna Wienhard	10
+ PDF Chat	Anosov flows, surface groups and curves in projective space	2006	François Labourie	10
+	Stable principal bundles on a compact Riemann surface	1975	A. Ramanathan	10
+ PDF Chat	Moduli of representations of the fundamental group of a smooth projective variety. II	1994	Carlos Simpson	9
+ PDF Chat	Topological invariants of Anosov representations	2010	Olivier Guichard Anna Wienhard	9
+ PDF Chat	DEFORMATIONS OF MAXIMAL REPRESENTATIONS IN Sp(4, R)	2011	Steven B. Bradlow Oscar García‐Prada Peter B. Gothen	8
+	Stable bundles and integrable systems	1987	Nigel Hitchin	8
+ PDF Chat	Theta characteristics of an algebraic curve	1971	David Mumford	8
+	The Hitchin-Kobayashi correspondence, Higgs pairs and surface group representations	2009	Oscar García‐Prada Peter B. Gothen Ignasi Mundet i Riera	8
+ PDF Chat	Positivity and higher Teichm\"uller theory	2020	Olivier Guichard Anna Wienhard	8
+ PDF Chat	Higgs bundles and local systems	1992	Carlos Simpson	8
+ PDF Chat	Surface Group Representations and U(p, q)-Higgs Bundles	2003	Steven B. Bradlow Oscar García‐Prada Peter B. Gothen	8
+ PDF Chat	Moduli for decorated tuples of sheaves and representation spaces for quivers	2005	Alexander Schmitt	7
+	The space of surface group representations	1993	Jun Li	7
+ PDF Chat	Moduli spaces of local systems and higher Teichmüller theory	2006	V. V. Fock A. B. Goncharov	7
+ PDF Chat	REPRESENTATIONS OF SURFACE GROUPS IN THE PROJECTIVE GENERAL LINEAR GROUP	2011	André Oliveira	6
+	Moduli Space of Semistable Pairs on a Curve	1991	Nitin Nitsure	6
+ PDF Chat	Connectedness of Higgs bundle moduli for complex reductive Lie groups	2017	Oscar García‐Prada André Oliveira	6
+ PDF Chat	Higgs bundles, the Toledo invariant and the Cayley correspondence	2017	Olivier Biquard Oscar García‐Prada Roberto Rubio	6
+ PDF Chat	Katz's Middle Convolution Algorithm	2009	Carlos Simpson	6
+ PDF Chat	Anosov representations and proper actions	2017	François Guéritaud Olivier Guichard Fanny Kassel Anna Wienhard	5
+ PDF Chat	Rank two quadratic pairs and surface group representations	2012	Peter B. Gothen André Oliveira	5
+	The symplectic nature of fundamental groups of surfaces	1984	William M. Goldman	5
+ PDF Chat	Dynamics on flag manifolds: domains of proper discontinuity and cocompactness	2017	Michael Kapovich Bernhard Leeb Joan Porti	5
+	Symmetric products of an algebraic curve	1962	I. G. Macdonald	5
+	The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group	1959	Bertram Kostant	5
+	Higher Teichmüller Spaces: from SL(2,R) to other Lie groups	2010	Marc Burger Alessandra Iozzi Anna Wienhard	5
+	Existence of Incompressible Minimal Surfaces and the Topology of Three Dimensional Manifolds with Non-Negative Scalar Curvature	1979	Richard Schoen Shing‐Tung Yau	5
+ PDF Chat	$$\mathrm {SO}(p,q)$$-Higgs bundles and Higher Teichmüller components	2019	Marta Aparicio-Arroyo Steven B. Bradlow B. Collier Oscar García‐Prada Peter B. Gothen André Oliveira	5
+ PDF Chat	Constructing Variations of Hodge Structure Using Yang-Mills Theory and Applications to Uniformization	1988	Carlos Simpson	5
+ PDF Chat	Twistor Theory for Riemannian Symmetric Spaces	1990	Francis E. Burstall John Rawnsley	4
+	Space of Unitary Vector Bundles on a Compact Riemann Surface	1967	C. S. Seshadri	4
+ PDF Chat	Higgs bundles and surface group representations in the real symplectic group	2012	O. García-Prada Peter B. Gothen Ignasi Mundet i Riera	4
+ PDF Chat	The Teichmüller theory of harmonic maps	1989	Michael Wolf	4
+	Cayley and Langlands type correspondences for orthogonal Higgs bundles	2018	David Baraglia Laura P. Schaposnik	4
+	Representations of the fundamental group of a closed oriented surface in	2004	Oscar García‐Prada Ignasi Mundet i Riera	4
+ PDF Chat	On the existence of a connection with curvature zero	1958	John Milnor	4
+	G2 geometry and integrable systems	2010	David Baraglia	4
+ PDF Chat	Flat Projective Structures on Surfaces and Cubic Holomorphic Differentials	2007	François Labourie	4